AI 中文总结
基于光图案化准二维活性悬浮液实验，发展可压缩活性向列相连续介质理论，以压缩率为调节旋钮，引导活性湍流，稳定动力学稳态，确立压缩率为活性向列相悬浮液密度变化和湍流的控制参数。
AI 中文摘要
受光图案化准二维活性悬浮液实验的启发，这类悬浮液呈现出大密度变化，我们发展了一种可压缩活性向列相的连续介质理论，即非极性棒状粒子的悬浮液，其取向在π旋转下不变。在空间图案化活性作用下，拉伸各向同性活性压力将物质从高活性区域排出并在低活性区域积累；一维精确可解简化表明，产生的密度对比度由一个单一无量纲参数控制，该参数与压缩率呈线性关系。利用压缩率作为调节旋钮，我们将活性湍流从高活性区域引导至低活性区域，并在尖锐的活性界面处稳定了一个易于分析的动力学稳态：由软的、活性诱导的约束所维持的一维涡旋链。我们的结果确立了压缩率作为活性向列相悬浮液中密度变化和湍流的控制参数。
英文摘要
Motivated by experiments on light-patterned, quasi-2D active suspensions that exhibit large density variations, we develop a continuum theory of compressible active nematics--suspensions of apolar rods whose orientation is invariant under pi rotations. Under spatially patterned activity, the extensile isotropic active pressure expels material from high-activity regions and accumulates it in low-activity ones; an exactly solvable 1D reduction shows that the resulting density contrast is governed by a single dimensionless parameter, linear in the compressibility. Using compressibility as a tuning knob, we then steer active turbulence from high- to low-activity regions and, at sharp activity interfaces, stabilize an analytically tractable dynamical steady state: a one-dimensional chain of vortices held by soft, activity-induced confinement. Our results establish compressibility as a control parameter for density variations and turbulent flow in active nematic suspensions.
Comments7 pages, 3 figures; Supplementary Material: 24 pages, 7 figures
